Introduction to Algebra / Edition 2

Introduction to Algebra / Edition 2

by Peter J. Cameron
     
 

Developed to meet the needs of modern students, this Second Edition of the classic algebra text by Peter Cameron covers all the abstract algebra an undergraduate student is likely to need. Starting with an introductory overview of numbers, sets and functions, matrices, polynomials, and modular arithmetic, the text then introduces the most important algebraic… See more details below

Overview

Developed to meet the needs of modern students, this Second Edition of the classic algebra text by Peter Cameron covers all the abstract algebra an undergraduate student is likely to need. Starting with an introductory overview of numbers, sets and functions, matrices, polynomials, and modular arithmetic, the text then introduces the most important algebraic structures: groups, rings and fields, and their properties. This is followed by coverage of vector spaces and modules with applications to abelian groups and canonical forms before returning to the construction of the number systems, including the existence of transcendental numbers. The final chapters take the reader further into the theory of groups, rings and fields, coding theory, and Galois theory. With over 300 exercises, and web-based solutions, this is an ideal introductory text for Year 1 and 2 undergraduate students in mathematics.

Product Details

ISBN-13:
9780198569138
Publisher:
Oxford University Press, USA
Publication date:
02/09/2008
Pages:
350
Product dimensions:
9.30(w) x 6.20(h) x 1.00(d)

Table of Contents

1Introduction1
2Rings25
3Groups65
4Vector spaces103
5Modules135
6The number systems159
7Further topics181
8Applications235
Further reading269
Solutions to selected exercises271
Index287

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